Introduction to Complex Analysis in Several Variables
Springer Basel (Verlag)
978-3-7643-7490-7 (ISBN)
lt;p>This book provides a comprehensive introduction to complex analysis in several variables. One major focus of the book is extension phenomena alien to the one-dimensional theory (Hartog's Kugelsatz, theorem of Cartan-Thullen, Bochner's theorem). The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a university lecture. Therefore, the book contains more than 50 examples and more than 100 supporting exercises.
Elementary theory of several complex variables.- Continuation on circular and polycircular domains.- Biholomorphic maps.- Analytic Sets.- Hartogs' Kugelsatz.- Continuation on Tubular Domains.- Cartan-Thullen Theory.- Local Properties of holomorphic functions.
lt;p>This is a book written with the student in mind: it offers a concise treatment of complex analysis in several variables, by focusing on special topics rather than trying to be a comprehensive treatment of the subject. (...) The main importance of this book is the fact that it fills a void: there are relatively few books on several complex variables. Any (graduate) student beginning work in this area and any instructor considering teaching a course in several complex variables should definitely take a look at Professor Scheidemann's work.
MAA-Reviews
| Erscheint lt. Verlag | 16.9.2005 |
|---|---|
| Zusatzinfo | VIII, 171 p. |
| Verlagsort | Basel |
| Sprache | englisch |
| Gewicht | 355 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Biholomorphic maps • Cartan-Thullen theory • Complex Analysis • Complex variables • Hardcover, Softcover / Mathematik/Analysis • HC/Mathematik/Analysis • Holomorphic Functions • Komplexe Analysis • Kugelsatz |
| ISBN-10 | 3-7643-7490-X / 376437490X |
| ISBN-13 | 978-3-7643-7490-7 / 9783764374907 |
| Zustand | Neuware |
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